Seminário de Álgebra  RSS

30/09/2009, 15:00 — 16:00 — Sala P4.35, Pavilhão de Matemática
, Texas A&M University

Arithmetic Toric Varieties

Given an arbitrary field k and a fan F, we study the classification of the various "toric k-forms" of the toric variety X K,F, where K is the algebraic closure of K and F. This classification generalizes the work of Delaunay on "real toric varieties" and has a particularly simple description in the case of complete non-singular toric surfaces. We show how to use the Cox construction to perform explicit calculations and make a few applications. This is joint work with Javier Elizondo, Frank Sottile and Zach Teitler.

Organizador actual: Gustavo Granja

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